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If the capacitance of a parallel plate capacitor is C, what will be the capacita

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Question: If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)

Options:

  1. C/2
  2. C
  3. 2C
  4. 4C

Correct Answer: C/2

Exam Year: 2020

Solution: 

The capacitance C of a parallel plate capacitor is given by C = εA/d. If the distance d is doubled, the new capacitance will be C/2.

If the capacitance of a parallel plate capacitor is C, what will be the capacita

Practice Questions

Q1
If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)
  1. C/2
  2. C
  3. 2C
  4. 4C

Questions & Step-by-Step Solutions

If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)
  • Step 1: Understand that the capacitance (C) of a parallel plate capacitor is calculated using the formula C = εA/d, where ε is the permittivity of the material between the plates, A is the area of the plates, and d is the distance between the plates.
  • Step 2: Identify that in this question, we are doubling the distance (d) between the plates.
  • Step 3: When the distance (d) is doubled, the new distance becomes 2d.
  • Step 4: Substitute the new distance (2d) into the capacitance formula: C' = εA/(2d).
  • Step 5: Notice that C' = (1/2) * (εA/d), which means C' = C/2.
  • Step 6: Conclude that if the distance between the plates is doubled, the new capacitance will be half of the original capacitance.
  • Capacitance of Parallel Plate Capacitor – The capacitance (C) of a parallel plate capacitor is determined by the formula C = εA/d, where ε is the permittivity of the dielectric material, A is the area of the plates, and d is the distance between the plates.
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